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Finding the Fourth Proportional to 14,521.80, 21,782.70 and 13,657.80

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Solution

The fourth proportional to 14,521.80, 21,782.70 and 13,657.80 is: 20,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.80 : 21,782.70 = 13,657.80 : x
  2. Step 2: Convert to fraction form
    14,521.80/21,782.70 = 13,657.80/x
  3. Step 3: Cross multiply
    14,521.80x = 21,782.70 × 13,657.80
  4. Step 4: Simplify right side
    14,521.80x = 297,503,760.06
  5. Step 5: Solve for x
    x = 297,503,760.06/14,521.80
  6. Step 6: Final answer
    x = 20,486.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.